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Finding the Third Proportional to 29,597 and 62,866

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Solution

The third proportional to 29,597 and 62,866 is: 133,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597 : 62,866 = 62,866 : x
  2. Step 2: Convert to fraction form
    29,597/62,866 = 62,866/x
  3. Step 3: Cross multiply
    29,597x = 62,866 × 62,866
  4. Step 4: Simplify right side
    29,597x = 3,952,133,956
  5. Step 5: Solve for x
    x = 3,952,133,956/29,597
  6. Step 6: Final answer
    x = 133,531.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.